Get Classical Mechanics With Calculus of Variations and Optimal Control An Intuitive Introduction (Student Mathematical Library)
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Book Details :
Published on: 2014-03-07
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Original language: English
This is an intuitively motivated presentation of many topics in classical mechanics and related areas of control theory and calculus of variations. All topics throughout the book are treated with zero tolerance for unrevealing definitions and for proofs which leave the reader in the dark. Some areas of particular interest are: an extremely short derivation of the ellipticity of planetary orbits; a statement and an explanation of the "tennis racket paradox"; a heuristic explanation (and a rigorous treatment) of the gyroscopic effect; a revealing equivalence between the dynamics of a particle and statics of a spring; a short geometrical explanation of Pontryagin's Maximum Principle, and more. In the last chapter, aimed at more advanced readers, the Hamiltonian and the momentum are compared to forces in a certain static problem. This gives a palpable physical meaning to some seemingly abstract concepts and theorems. With minimal prerequisites consisting of basic calculus and basic undergraduate physics, this book is suitable for courses from an undergraduate to a beginning graduate level, and for a mixed audience of mathematics, physics and engineering students. Much of the enjoyment of the subject lies in solving almost 200 problems in this book. Resolve a DOI Name Type or paste a DOI name into the text box. Click Go. Your browser will take you to a Web page (URL) associated with that DOI name. Send questions or comments to doi ... 2017 :: Joint Mathematics Meetings :: January 4 - 7 ... Monday January 2 2017. Monday January 2 2017 9:00 a.m.-4:30 p.m. AMS Short Course on Random Growth Models Part I M301 Marquis Level Marriott Marquis International Journal of Engineering Research and ... International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research .. planetmath.org Math for the people by the people. PlanetMath is a virtual community which aims to help make mathematical knowledge more accessible. PlanetMath's content is created collaboratively: the main feature is ... Professor Eckhard Platen - University of Technology Sydney Professor Eckhard Platen joined UTS in 1997 from ANU. He was a joint appointment between the School of Finance and Economics and the School of Mathematical Sciences ... Eurasc - New Members - eurasc.org List of the new elected members to the European Academy of Sciences Undergraduate student projects - Department of Computer ... There is an enormous amount of information on constructing various sorts of interesting'' in one or another way mathematical objects e.g. Course Listing - Farmingdale State College AET 106 Suspension and Control Systems. This is a theory/laboratory course designed to provide a thorough understanding of the design construction ... Graduate School of Business Stanford University The mission of the Stanford Graduate School of Business is to create ideas that deepen and advance the understanding of management and with these ideas develop ... Modeling and Simulation - ubalt.edu Introduction & Summary Computer system users administrators and designers usually have a goal of highest performance at lowest cost. Modeling and simulation of ...
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